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Convert Torque to HP Formula

Horsepower Formula:

\[ HP = \frac{T \times RPM}{5252} \]

lb-ft
rev/min

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1. What is the Torque to HP Conversion?

Definition: This calculator converts torque (rotational force) and RPM (revolutions per minute) to horsepower.

Purpose: It helps engineers, mechanics, and automotive enthusiasts understand the relationship between torque and horsepower in engines and motors.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ HP = \frac{T \times RPM}{5252} \]

Where:

Explanation: Horsepower is calculated by multiplying torque by RPM and dividing by the constant 5252, which comes from the definition of horsepower (550 ft-lb/sec) and unit conversions.

3. Importance of Torque to HP Conversion

Details: Understanding this relationship helps in engine performance analysis, gear ratio selection, and comparing different power sources.

4. Using the Calculator

Tips: Enter the torque value in lb-ft and the rotational speed in RPM. Both values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why is 5252 the magic number?
A: It comes from the definition of horsepower (550 ft-lb/sec) and unit conversions (60 seconds/minute, 2π radians/revolution).

Q2: At what RPM does torque equal horsepower?
A: At 5252 RPM, torque (in lb-ft) and horsepower will have the same numerical value.

Q3: Can I use this for electric motors?
A: Yes, the formula works for any rotating machinery where torque and RPM are known.

Q4: What if my torque is in Nm instead of lb-ft?
A: First convert Nm to lb-ft (1 Nm = 0.73756 lb-ft) before using this calculator.

Q5: Does this account for efficiency losses?
A: No, this calculates theoretical mechanical horsepower. Actual output may be lower due to friction and other losses.

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